MULTIPLE CHOICE. PLEASE ANSWER CORRECTLY 6. Find the area of the region bounded

Question

MULTIPLE CHOICE. PLEASE ANSWER CORRECTLY

6. Find the area of the region bounded by the curves y = x^2 + 1 and y = 2.
a. 4/3
b. 2/3
c. 11/9
d. 5/3
e. None of the above

7. Find the area of the region bounded by the curves y =x^2 and y = x.
a. 1/3
b. 1/9
c. 1/6
d. 5/6
e. None of the above

8. Find the area of the region bounded by the curves y = x^2 ? 1 and y = ?x^2
.
a.root2/2
b.?3/6

c.?3/2
d. 2?2/3
e. None of the above

9. Find the area of the region bounded by the curves y = x^2 and x = y^2
a. 1/9
b. 1/3
c. 1/12
d. 1/24
e. None of the above

10.10. Find the area of the region bounded by the parabolas y = 2x ? x^2 and y = x^2
a. 1/3
b. 1/4
c. 1/5
d. 3/5
e. None of the above

11.11. Find the area of the region bounded by the parabola x = y^2 and x ? 2y = 3.
a. 29/3
b. 32/3
c. 35/3
d. 38/3
e. None of the above

Explanation / Answer

6.c. 11/9

7.d. 5/6

8..b.?3/6

9.d. 1/24

10.b. 1/4

11.c. 35/3

12.a. x = cot(u)

13.b. 3x = 4 sin(u)

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